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Finding the Fourth Proportional to 400,764.17, 601,250.82 and 176,168.84

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Solution

The fourth proportional to 400,764.17, 601,250.82 and 176,168.84 is: 264,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,764.17 : 601,250.82 = 176,168.84 : x
  2. Step 2: Convert to fraction form
    400,764.17/601,250.82 = 176,168.84/x
  3. Step 3: Cross multiply
    400,764.17x = 601,250.82 × 176,168.84
  4. Step 4: Simplify right side
    400,764.17x = 105,921,659,508.45
  5. Step 5: Solve for x
    x = 105,921,659,508.45/400,764.17
  6. Step 6: Final answer
    x = 264,299.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.